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In triangle ABC, AB = BC, and the measure of angle B  the measure

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In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink] New post   23 Jun 2022, 00:37
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In triangle ABC, AB = BC, and the measure of angle B = the measure of angle C.

Quantity A
Quantity B
the measure of angle B + the measure of angle C
the measure of angle B + the measure of angle A



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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Re: In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink] New post   23 Jun 2022, 07:11
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AB = BC (given)

Since the measure of angle B equals the measure of angle C, AB = AC. Therefore, ABC is equilateral and mLA = mLB = mLC = mLB + mLC = mLB = + mLA.
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Re: In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink] New post   14 Jul 2022, 03:19
Carcass wrote:
AB = BC (given)

Since the measure of angle B equals the measure of angle C, AB = AC. Therefore, ABC is equilateral and mLA = mLB = mLC = mLB + mLC = mLB = + mLA.


Isn't that an isosceles triangle instead of an equilateral?
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Re: In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink] New post   14 Jul 2022, 04:16
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SivhHarish wrote:
Carcass wrote:
AB = BC (given)

Since the measure of angle B equals the measure of angle C, AB = AC. Therefore, ABC is equilateral and mLA = mLB = mLC = mLB + mLC = mLB = + mLA.


Isn't that an isosceles triangle instead of an equilateral?


From what do you assume, sir, is not an equilateral triangle?
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Re: In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink] New post   14 Jul 2022, 05:14
Carcass wrote:
SivhHarish wrote:
Carcass wrote:
AB = BC (given)

Since the measure of angle B equals the measure of angle C, AB = AC. Therefore, ABC is equilateral and mLA = mLB = mLC = mLB + mLC = mLB = + mLA.


Isn't that an isosceles triangle instead of an equilateral?


From what do you assume, sir, is not an equilateral triangle?


They just told AB = BC, not all the three sides are equal and angle b = angle C as before, not all three angles were equal.
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Re: In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink] New post   14 Jul 2022, 05:30
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the measure of angle B = the measure of angle C.

Therefore, . AB = BC (given) and AB = AC

AB=BC=AC. Equailateral
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In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink] New post   14 Jul 2022, 06:05
Carcass wrote:
the measure of angle B = the measure of angle C.

Therefore, . AB = BC (given) and AB = AC

AB=BC=AC. Equailateral


Understood Sir! At my first look at the answer, I interpreted it wrongly. My bad!
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In triangle ABC, AB = BC, and the measure of angle B  the measure [#permalink]
14 Jul 2022, 06:05
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